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Keywords

projective plane
Complete arcs
Codes

Abstract

      A (k ,r)-arc is a set of k points of a projective plane PG(2,q) such that some  r, but no r + 1 of them, are collinear. The  (k ,r)-arc is complete if it is not contained in a (k + 1,r)-arc.      In this paper we give geometrical construction of  complete (k r ,r)-arcs in PG(2,7),  r = 2,3,…, 7, and the related projective [n,3,d]7 codes.  
https://doi.org/10.33899/csmj.2018.163568
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